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3 years ago

What is the fifth term of the sequence whose first term is 10 and whose common ratio is 1/2?

Mathematics

2 answers:

Cloud [144]3 years ago

8 0

Answer:

Step-by-step explanation:

Common ratio of half means that to get each successive terms, you have to multiply the preceding term by half.

Since first term is 10

2nd term is $10*\frac{1}{2}=5$

3rd term is $5*\frac{1}{2}=\frac{5}{2}$

4th term is $\frac{5}{2}*\frac{1}{2}=\frac{5}{4}$

5th term is $\frac{5}{4}*\frac{1}{2}=\frac{5}{8}$

Answer choice D is right.

Kipish [7]3 years ago

3 0

The fifth term of the sequence whose first term is 10 and whose common ratio is ½ is 5/8. The correct answer between all the choices given is the last choice or letter D. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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Step-by-step explanation:

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2 years ago

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2 years ago

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3 years ago

The measure of one angle is six more than half the measure of another angle. If the angles are complementary, find both measures

Snowcat [4.5K]

Answer:

The measures of the two angles are 34° and 56°

Step-by-step explanation:

* Lets explain how to solve the problem

- The complementary angles are the angles whose the sum

of their measures is 90°

- The measure of one angle is six more than half the measure

of another angle

- Let the measure of the second angle angle is x

∵ The measure of the 2nd angle is x

∵ The measure of the first angle is 6 more than the half of the

measure of the second angle

∴ The 1st angle is 6 + 1/2 x

∵ The two angles are complementary

∴ The sum of their measures is 90°

∴ x + (6 + 1/2 x) = 90

∴ (x + 1/2 x) + 6 = 90

∴ 3/2 x + 6 = 90

- Subtract 6 from both sides

∴ 3/2 x = 84

- Multiply both sides by

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- Divide both sides by 3

∴ x = 56

∵ x is the measure of the 2nd angle

∴ The measure of the 2nd angle is 56°

∵ The measure of the 1st angle = 6 + 1/2 x

∵ x = 56

∴ The measure of the 1st angle = 6 + 1/2(56) = 34°

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Ostrovityanka [42]

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Step-by-step explanation:

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